now for terms beyond xn we need not worry as the higher powers will go to 0 as x-> 0
however if we are to find the limit by dividing the rest of the terms :-
(x2/2! + x3/3! + ...... xn/n!) / xn
for x-> 0
a number of undefined terms will be encountered, apart from 1/n! which seems to be coming if we can somehow deal with the lower powers !